`(x^2-y^2)(dy)/(dx)=2x y` Ð^@х

(x+2y^(3))(dy)/(dx)=y

(2x+y)(dy)/(dx)=x+2y=

x(dy)/(dx)-y=2x^(2)y

(x-y)^(2) (dy)/(dx) =a^(2), x -y =u

x+y(dy)/(dx) =x^(2) +y^(2)

For each of the following differential equations verify that the accompanying functions a solution.Differential Function x(dy)/(dx)=yy=axx+y(dy)/(dx)=0y=+-sqrt(a^(2)-x^(2))x(dy)/(dx)y=y^(2)y=(a)/(x+a)x^(3)(d^(2)y)/(dx^(2))=1y=ax+b+(1)/(2x)y=((dy)/(dx))^(2)y=(1)/(4)(x+-a)^(2)

x (dy)/(dx) - y = 2x ^(3)

x^(2)(dy)/(dx)=(y(x+y))/(2)

If y=x log((x)/(a+bx)), thenx ^(3)(d^(2)y)/(dx^(2))= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^(2)y(dy)/(dx)-x(d)(y(dy)/(dx)-x)^(2)

(dy)/(dx)-(y)/(x)=2x^(2)